L. Muglia

collaborators

5 papers

math.AP2026

Monotonicity of non-negative solutions of quasilinear elliptic equations in a cylindrical domain

Luigi Montoro, Luigi Muglia, Berardino Sciunzi +1

We consider weak solutions to $p$ -Laplace equations in cylindrical domains under mixed homogeneous Dirichlet-Neumann boundary conditions. We assume that the right-hand side is posi…

math.AP2026

Classification of singular solutions to the subcritical Lane-Emden equation in $R^{N} ∖ {0}$

Francesco Esposito, Luigi Muglia, Berardino Sciunzi +1

We provide a classification result of positive solutions with a non-removable singularity at the origin to the subcritical Lane-Emden equation $- I^_{p} u = u^{q}$ in $\mathbb{R}^N \set…

math.AP2025

Monotonicity results in half spaces for quasilinear elliptic equations involving a singular term

Luigi Montoro, Luigi Muglia, Berardino Sciunzi

We consider positive solutions to $- I^_{p} u = \frac{1}{u ^{3}} + f (u)$ under zero Dirichlet condition in the half space. Exploiting a prio-ri estimates and the moving plane…

math.AP2025

The Classification of all weak solutions to $- I^ u = u^{- I^^{3}}$ in the half-space

Luigi Montoro, Luigi Muglia, Berardino Sciunzi

We provide the classification of all the positive solutions to $- I^ u = \frac{1}{u ^{3}}$ in the half space, under minimal assumption.

math.AP2025

Second order regularity for solutions to anisotropic degenerate elliptic equations

Daniel Baratta, Luigi Muglia, Domenico Vuono

We consider solutions to degenerate anisotropic elliptic equations in order to study their regularity. In particular we establish second-order estimates and enclose regularity resu…

Monotonicity of non-negative solutions of quasilinear elliptic equations in a cylindrical domain

Classification of singular solutions to the subcritical Lane-Emden equation in RN∖{0}

Monotonicity results in half spaces for quasilinear elliptic equations involving a singular term

The Classification of all weak solutions to −I^u=u−I^3 in the half-space

Second order regularity for solutions to anisotropic degenerate elliptic equations

Classification of singular solutions to the subcritical Lane-Emden equation in $R^{N} ∖ {0}$

The Classification of all weak solutions to $- I^ u = u^{- I^^{3}}$ in the half-space